A Multiperiod Vehicle Lease Planning for Urban Freight Consolidation Network

Algorithm 1

Solution procedure for .

PROC()

begin

(1) Let for all and for all be , and -variables of

   the optimal solution of respectively;

(2) Set ;

(3) Fix some at the associated values according to Proposition 2 and determine ,

    and for all by Corollary 3;

(4) Set for all and ;

(5) Set and for all and where and

    are binary variables having 1 only if and are not necessary

   to be solved respectively, and 0 otherwise;

(6) Set ;

(7) while     do

(8)  if     then

(9)     Set ;

(10)     while     do

(11)      if     then

(12)       Solve and set the resulting solution as (;

(13)       Set for all and ;

     end

(14)     Set and for all

      by Proposition 4(a);

(15)     Set ;

     end

(16)     Set for all by Proposition 4(b) where

      such that ;

(17)     if     then

(18)     Set (refer to (10));

(19)     Set and for all ;

     end

   end

(20)   Set ;

   end

end